Using a system of equations, it is found that Carol is 10 years old.
The complete problem is:
"Gerrys age is 5 more than three times Carols age. If the sum of their age is 45, how old is carol?"
The variables are:
Gerry is 5 more than three times Carol's age, hence:
[tex]x = 5 + 3y[/tex]
The sum of their ages is 45, hence:
[tex]x + y = 45 \rightarrow x = 45 - y[/tex]
We then use the first equation to find Carol's age:
[tex]45 - y = 5 + 3y[/tex]
[tex]4y = 40[/tex]
[tex]y = \frac{40}{4}[/tex]
[tex]y = 10[/tex]
Carol is 10 years old.
To learn more about system of equations, you can take a look at https://brainly.com/question/13773803
